What are the solutions to the equation 8x^3-27=0 ?

The solutions to the equation 8x^3-27=0 are x= 3/2 ,x=-3/4+(3sqrt(3))/4 i,x=-3/4-(3sqrt(3))/4 i

Find the zeros of 8x^3-27=0

The zeros of 8x^3-27=0 are x= 3/2 ,x=-3/4+(3sqrt(3))/4 i,x=-3/4-(3sqrt(3))/4 i

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8 x^{3} - 27 = 0

x = \frac{3}{2}, x = - \frac{3}{4} + \frac{3 3}{4} i, x = - \frac{3}{4} - \frac{3 3}{4} i

Solution steps

8 x^{3} - 27 = 0

Move

27

to the right side

8 x^{3} = 27

Divide both sides by

8

x^{3} = \frac{27}{8}

For

x^{3} = f (a)

the solutions are

Simplify

x = \frac{3}{2}, x = - \frac{3}{4} + \frac{3 3}{4} i, x = - \frac{3}{4} - \frac{3 3}{4} i

x^{3} + 3 x^{2} + 2 x + 4 = 0

4 x^{3} - 12 x^{2} = 0

x^{3} - 216 = 0

x^{3} - x^{2} - 6 x = 0

x^{3} (x^{2} - 5) = - 4 x

What are the solutions to the equation 8x^3-27=0 ?
The solutions to the equation 8x^3-27=0 are x= 3/2 ,x=-3/4+(3sqrt(3))/4 i,x=-3/4-(3sqrt(3))/4 i
Find the zeros of 8x^3-27=0
The zeros of 8x^3-27=0 are x= 3/2 ,x=-3/4+(3sqrt(3))/4 i,x=-3/4-(3sqrt(3))/4 i